Motion Definition and 999 Threads

Hey everyone, where can I learn fairly rigorousoly about continuum mechanics and specifically about how to map between motions in the configuration space ##\mathcal{C}## and motions in the shape space ##\mathcal{C} / SO(3)##? I would like to model the general motion of deformable bodies with...

Consider the Schrödinger equation for a free particle: \begin{equation} -\frac{\hbar^2}{2m} \partial_i^2\psi = i\hbar\partial_t \psi. \end{equation} Let us be interested in the motion of a free particle in quantum mechanics. We say ok, we have a solution to the Schrödinger equation for a...

So what I did was made the two equations equal each other. A lot of stuff cancels out and I end up with x=-vt. My issue is that t isn't given and I am not entirely sure how to get it. I don't think taking the partitial derivative of time will be any help nor the partial derivative of...

APPROACH 1 (correct): Height above ground = 3 - (v+u)/2 * t = 3 - 18.263/2 * 0.25 = 0.717 m ----------------------------------------------------- APPROACH 2 (incorrect): Let d be the height from the ground when he is stopped by the cushion. PE loss = Work done against motion by cushion mgh =...

Hi, I have a particle on a parabolic surface $$y = Ax^2$$ and I have to show that the frequency is $$\omega = \sqrt{2Ag}$$ I don't know how to deal with a parabola. I don't think I can use the polar coordinates like a circle. I don't see how to start this problem and in which coordinates...

Let: ##x## = horizontal distance from person to tree ##h_t## = height where arrow hits the coconut (measured from ground) ##h_o## = height of monkey ##u## = initial speed of arrow ##\theta = 35^0## ##t = 1~ \text{s}## Vertical displacement of coconut until it is hit: $$h_t - h_o = -\frac{1}{2}...

Hi, how can I calculate the impact force in case when some object is in uniform circular motion and then suddenly hits the target. For example consider lawn mower's blade hitting stone or drum woodchipper's blade hitting branch. Both blades are already moving at full speed when they hit the...

So since V(cap) + V(ind)=0 then Q/C + L dI/dt=0 Now since I=dQ/dt, I can replace dI/dt with d^2Q/dt^2 resulting in Q/C + L d^2Q/dt^2 =0 Now L d^2Q/dt^2 looks like a harmonic motion thing I can solve, where w^2=L. This means I can find w. I get 0.0005385. Now my issue is using this w gives the...

So first I found the total energy of the system by calculating the potential Energy, Ep=0.5k(l^2+l^2) and get 2.0475 (this part is right). Then I find w using the period T=2pi/w, so w=2pi/1.21=5.1927 I also found the amplitude using E=1/2kA^2, so A=sqrt(2E/k)=0.212132 Now this is the part I...

Hello! I've done the following to solve this problem. a) Here I simply put in the time in the equation, s0 is = 0 and after that it was pretty much done $$s(t) = 42 *1 - \frac {9,81*1^2} {2} = 37,09m $$ b) Now here to see when the rocket reaches it maximum altitude and what height it is...

I stuck on part c and d. My attemption is attached.

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I did part a and part b but stuck in part c. Could you help me? (Part a and b attached.)

In the article 'Cellular vacuum' (Int. J. Theor. Phys. 21: 537-551, 1982), Minsky writes: "One can prove that any bounded packet which moves within a regular lattice must have an asymptotically helical trajectory.. . " He does not explain this statement further, nor does he give any references...

In the article 'Cellular vacuum' (Int. J. Theor. Phys. 21: 537-551, 1982), Minsky writes: "One can prove that any bounded packet which moves within a regular lattice must have an asymptotically helical trajectory...". But he gives no references whatsoever. I had no success in a search on the...

Hi all, I interested in how can I get low of motion in for orbiting particle in a uniform magnetic field $$\frac{d\vec{r}}{dt} = \vec{\omega}\times\vec{r},\qquad \vec{\omega} = \frac{e\vec{B}}{mc},$$ Of course, rotating about z' axis is very simple. \begin{equation}\label{eq:K}...

Hi, I’m new here and I signed up to ask for some help with a physics problem. I’m not trained, nor am I receiving training, in physics. I’m a bachelor of Geoscience student halfway through my course. The problem I have is with understanding and testing the law of uniform motion (I think that’s...

Hello This is not a homework, this is my own experiment to understand how the motion works. Please, follow my question here below: I have a hot wheels race with a slope with 10 degrees where I use a small car which departs from the top to the bottom. I have taken 5 times the time to get an...

Was wondering if PCA can be used to find equation of motions, like F = kx.

Hello to everyone :smile: I'd like to study this problem. You have a 2D guide, described by an equation y = y (x) in a reference interval x ∈ I = [a, b], placed in a cartesian vertical plane Oxy. The guide is frictionless and the only force that is acting is the gravity force. On this track, a...

I was able to do the first graph knowing that acceleration is 9.8 and my distance goes up by 10s (y-axis) and my time goes up by 1s (x-axis). For the other 3 graphs, I'm not sure where to begin because I don't know how to figure out my velocity

I know the conventional method for solving this question using the formula for maximum range of a projectile in an inclined plane, but since it is an objective problem, if we consider a non general case where α=0, then clearly we can see that (see attachment) only one option matches which...

Does anyone have any experience with this book? It looks interesting. See attached TOC

Please scroll-down to the end (Question 54): https://www.undergraduate.study.cam.ac.uk/files/publications/engineering_s1_qp_2017.pdf I have also been referring to unofficial worked solutions (http://www.engineeringadmissionsassessment.com/2017-solutions.html), but I didn't understand how it...

Apart from the trivial elements of the motion equation (m z'' = -kz -mg), I am required to find the force produced by the Eddy currents induced by the moving magnet. To do so, I calculated the magnetic flux through the hole plate: For a magnet: Bz=μo m 4π. 2z^2−r^2/(z^2+r^2)^5/2 so Φ = a→ +∞...

How is the answer to 3 (d) is found?

Not sure what I'm doing here. Not sure how to continue? Please help. Thank you in advance!

Basically, I need help to continue on this question. This is what I have now: Angle of the race track (angle of the grey part): tan(18/(169-108)) = 0.30396 Not sure how to continue?? What am I supposed to do and find next? Thank you in advance! :smile::blushing::oldbiggrin:

I'm getting really stuck with understanding this example: (Source: page 98) What is a line vortex, and how do we derive those equations of motion? All I can tell is that the velocity of a given vortex depends on a contribution from every other vortex in the plane, but I wondered if someone...

So i have this question. If a projectile is fired from a spring loaded system and when it goes pass a chronograph, reads 300FPS and has a mass of 0.12grams. Is there any way to use the proportionality theorem (1/3=x/6 example) to approximate how fast a mass of 0.25grams is when fired from same...

By Lagrange's formalism, the motion equations for double pendulum are: Using Newton's formalism I can't obtain the second equation. Anyone can help?

I'm having trouble understanding the plane one This is what I understand so far v I'm sitting at a chair right now and if I compare my relative motion to the ground my relative velocity would be 0m/s but if I compare my motion to the solar system I would be moving very fast. I just can't grasp...

Two quick questions on time dilation and superluminal travel for a situation in which two people are in motion with respect to each other. 1) If Jack is moving with respect to Jill, Jill sees Jack's clock move more slowly relative to her clock, so Jill perceives Jack aging more slowly relative...

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In high school I learned about three kinds of motion in classical mechanics - translation, rotation, and oscillation. Are there any other kinds of motion in the physical world?

Homework Statement:: I'm working on a personal project to convert objects from a simulation using state vectors for position and velocity to Keplerian orbital elements (semimajor axis, eccentricity, argument of periapsis, etc.). However, the equations I am using do not calculate the...

The answer to (c) is ##-2\pi AGMm##. Answer to (d) For sub-question d, I used a different approach and I don't know why the solution to (d) is an appropriate approximation. What I did was that I use Newton's laws to obtain two differential equation in polar coordinate, as shown: $$\text{Assume...

Stable nuclei have radii that are approximately given by the formula: R = r0_A^1/3 Where r0 = 1.25 × 10−15m and A is the atomic mass number. In many experiments of interest to modern particle physics, beams of neutrinos scatter from nucleons within the nucleus. Even though the nucleus is at...

I am beginner. Can anybody do that? I need solution. Thanks so much!

I understand that based on what I have read online quantum computers are required to be close to absolute zero because it introduces less error. Is it because brownian motion due to thermal agitation of molecules reduces with temperature?

Here's my solution: I've tried to find the equation of vx. But the graph that it is generating is not right. I am not able to figure out what is wrong in the equation for vx. Please let me know where is the equation wrong and what is wrong? Here's the graph:

I have a feeling that they will reach the water surface in the same time. How do I explain this in physics?

This is one of very few in-depth sources of information I can find online about Highly Coupled Magnetic Resonance...

Hi guys can someone look at my work for uncertainty and let me know if it makes sense.

1. I'm trying to calculate the time at which the crash does not happen (if possible, because I don't know the official solution. I assume the crash is preventable). At the time t the truck decelerates and makes the distance ##s_2= \frac{v_2^2}{2a}##. In the same time the car drives with the...

Now this is how I've tried to solve this $$ v_e = u0 \cdot ln \frac {M} {M- μ \cdot t} $$ After putting in the values I get this; $$ v_e = 200 * ln 0,36 $$ $$ v_e = 73,54 \frac m s $$ Now I'd say that this is the correct way to do it, but this part is confusing me "What is the speed of the...

if zeno's paradoxes are true and motion is impossible, then how does an electron reach the electrostatic field of another electron?

Could you check if what I did is right and help me at e) and f)? Thank you!

I tried to solve the problem in 2 ways, first using lagrangian mechanics and second by putting a rotating reference frame on the initial take-off point. However I cannot be sure if the equations of motion for the two solutions came out the same. A-) Equations of motion from Lagrangian...

Hi, I'm stucked in this exercise. I don't know how to proceed. Any hints I appreciate it.Two bars of the same proper length L, moves in the same way on the x axis. In the referential of one of the bars the time interval between the events, when the extremity right of one bar and the extremity...